What is the Least Common Multiple of 18689 and 18696?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 18689 and 18696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18689 and 18696, than apply into the LCM equation.

GCF(18689,18696) = 1
LCM(18689,18696) = ( 18689 × 18696) / 1
LCM(18689,18696) = 349409544 / 1
LCM(18689,18696) = 349409544

Least Common Multiple (LCM) of 18689 and 18696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18689 and 18696. First we will calculate the prime factors of 18689 and 18696.

Prime Factorization of 18689

Prime Factorization of 18696

Now multiplying the highest exponent prime factors to calculate the LCM of 18689 and 18696.

LCM(18689,18696) = 11¹ × 1699¹ × 2³ × 3¹ × 19¹ × 41¹
LCM(18689,18696) = 349409544